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Simplifying -13(-8x + 7) + -3 = 14(x + 19) Reorder the terms: -13(7 + -8x) + -3 = 14(x + 19) (7 * -13 + -8x * -13) + -3 = 14(x + 19) (-91 + 104x) + -3 = 14(x + 19) Reorder the terms: -91 + -3 + 104x = 14(x + 19) Combine like terms: -91 + -3 = -94 -94 + 104x = 14(x + 19) Reorder the terms: -94 + 104x = 14(19 + x) -94 + 104x = (19 * 14 + x * 14) -94 + 104x = (266 + 14x) Solving -94 + 104x = 266 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -94 + 104x + -14x = 266 + 14x + -14x Combine like terms: 104x + -14x = 90x -94 + 90x = 266 + 14x + -14x Combine like terms: 14x + -14x = 0 -94 + 90x = 266 + 0 -94 + 90x = 266 Add '94' to each side of the equation. -94 + 94 + 90x = 266 + 94 Combine like terms: -94 + 94 = 0 0 + 90x = 266 + 94 90x = 266 + 94 Combine like terms: 266 + 94 = 360 90x = 360 Divide each side by '90'. x = 4 Simplifying x = 4
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